Properties of the Number 47520

Forty-Seven Thousand Five Hundred Twenty

Basics

Value: 47519 → 47520 → 47521

Parity: even

Prime: No

Previous Prime: 47513

Next Prime: 47521

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ³ × 5 × 11

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 11

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011100110100000

Octal: 134640

Duodecimal: 23600

Hexadecimal: b9a0

Square: 2258150400

Square Root: 217.9908254950194

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Expansion of ∏_k>=1 (1 - x^k)¹². A735

Number n such that Fibonacci(n) is divisible by n, n + 1 and n - 1. A221018

Product of all n - d, where d < n and d is a divisor of n. A72513

T(n,k) is the number of permutations of [n] with maximum descent k, T(n,k) for n >= 0 and 0 <= k <= n, triangle read by rows. A130477

Positive numbers m such that m² - 1 divides 2^m - 1. A247219

a(n) is the unique integer k such that A108951(k) = n!. A307035

Tri-unitary perfect numbers: numbers k such that tsigma(k) = 2k, where tsigma(k) is the sum of the tri-unitary divisors of k (A324706). A324707

5-infinitary perfect numbers: numbers k such that 5-infinitary-σ(k) = 2·k. A97464

a(n) = (n+1)*(n-2)*(n-3)/2. A212343

Values of φ(k) when φ(k) = φ(k+1). A3275